The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.01 level of significance. Critical Values of the Pearson Correlation Coefficient Average Temperatures and Snow Accumulations Average Temperature (℉℉) 45 31 16 35 35 22 26 23 25 39 Snow Accumulation (in.in.) 9 20 23 6 10 29 22 14 12 9 Question 1: Regression equation y=__________ Question 2: Is the equation appropriate? Yes or No?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.01 level of significance.
Critical Values of the Pearson
| Average Temperature (℉℉) | 45 | 31 | 16 | 35 | 35 | 22 | 26 | 23 | 25 | 39 |
|---|---|---|---|---|---|---|---|---|---|---|
| Snow Accumulation (in.in.) | 9 | 20 | 23 | 6 | 10 | 29 | 22 | 14 | 12 | 9 |
Question 1:
Regression equation y=__________
Question 2:
Is the equation appropriate? Yes or No?
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